Quadratic Equations " Longtest 1"

Which one refers to a polynomial equation in the form ax²+bx+c=0 where a, b, c are real numbers a≠0.

• Linear Equation

• Quadratic Equation

• Quadratic Polynomial

• Quadratic Inequalities

Which of the following is NOT a quadratic equation?

• $𝟕+𝟑𝒅–𝒅^2=𝟎$

• $(𝒅–𝟓)(𝒅+𝟔)=𝟎$

• $𝟏𝟔=(𝒅−𝟓)^2$

• $𝟐(𝒅–𝟏𝟎)=𝟒𝒅$

What must be added to x² + 6x to make it a perfect square trinomial?

• 3

• 6

• 9

• 36

Which of the following values of x make the equation x²– 5x – 36 = 0?

I. – 4

II. 9

III. – 6

• I and II

• II and III

• I and III

• III only

One of the roots of 2x² + 13x + 18= 0 is – 2. What is the other root?

• $–18$

• $-9$

• $-\frac{9}{2}$

• $-\frac{1}{2}$

What number must be added to complete the square in the equation p² – 30p = 8?

• 900

• 225

• 30

• 15

Which of the following is NOT a method in solving a quadratic equation?

• Factoring

• Quadratic Formula

• Completing the Square

• Discriminant

The area of a rectangular lot is 56m² . The length is six more than twice the width, if w represents the width, what expression will represent the length?

• 56 – 2w

• 2w + 6

• 6 - 2w

• 6w

Solve by finding square roots and simplify completely:
 $x^2-16=0$ 

•  $x=-1,\ x\ =\ 1$  

•  $x=-2,\ x\ =\ 8$  

•  $x=-4,\ x\ =\ 4$  

•  $x\ =\ -16,\ x\ =\ 16$  

Use the quadratic formula to solve 2x² + 2x - 12 = 0

• x = -2, x = 3

• x = 2, x = 3

• x = 2, x = -3

• x = -2, x = -3